Finding the Fourth Proportional to 10,357.84, 14,293.86 and 5,642.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357.84 : 14,293.86 = 5,642.08 : x
2. Step 2: Convert to fraction form
   10,357.84/14,293.86 = 5,642.08/x
3. Step 3: Cross multiply
   10,357.84x = 14,293.86 × 5,642.08
4. Step 4: Simplify right side
   10,357.84x = 80,647,101.63
5. Step 5: Solve for x
   x = 80,647,101.63/10,357.84
6. Step 6: Final answer
   x = 7,786.09